Spontaneous swap of kind is a commonly saw phenomenon in physics. during this quantity, major specialists survey from a mathematical viewpoint issues similar to section transitions in crystals, cluster dynamics, viscoelastic flows, movement of interfaces in thermodynamics, shocks in transonic flows, and nonlinear diffusion with finite pace of propagation. because of new mathematical innovations, there's now a renewed curiosity in those tricky questions. the current quantity offers new effects yet can also function an outstanding advent to contemporary literature. it is going to be of curiosity to researchers and to graduate scholars in physics and arithmetic.

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